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Last updated on December 2nd, 2024

Is 163 a Prime Number?

Q: Are all odd numbers prime numbers?

Well, allowing oneself to think that all prime numbers are odd numbers and vice versa, is wrong. For instance, 9 is odd and can be divided by 3 and has more than two divisors, and therefore not a prime number.

Q: Prove that 162 is not a prime number.

By looking at the above prime number chart and using the divisibility test, we can prove that 162 is not a prime. Since when using the divisibility test, we get to know that 162 has more than two divisors 1, 2, 3, 6, 9, 18, 27, 54, and 162 respectively.

Q: What are the prime factors which form a product of 21?

Primes factorization is a process whereby two numbers which are prime in nature are multiplied to give a composite value. Here, the factors are 3 and 7 and so, the prime factorization of 21 is 3 × 7.

Q: Name the prime numbers that come between 120 and 140

By using the prime numbers chart we can get to know the prime numbers between 120 and 140, which are 127, 131, 137. These numbers only have two divisors, which are 1 and itself.

Q: Important Glossaries For “Is 163 a Prime Number?”

Prime Number Chart: A compilation of all the prime numbers till a certain given value. Remainder: When one number is incapable of dividing another till zero, the remaining number is known as reminder. Divisor: An integer that evenly divides the number without any remainders.

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How do we describe prime numbers? It's quite simple. It is a number which is 1 and has only two factors. The only two factors are 1 and the number itself. These two factors can divide the number, leaving no reminder. In this topic, let us learn more about prime numbers.

Is 163 a Prime Number?

The number 167 is indeed considered as a prime number because it has only two divisors, which are the number one and itself. They have no other factors.

$is 163 a prime number$

Why Is 163 a Prime Number?

A number is said to be a prime or not a prime only when certain conditions are met. To find those there are methods to perform and when the conditions are met only the numbers are categorized as prime and composite numbers.
The methods to check any numbers are as follows:

Count Divisor Method

Divisibility Test

Prime Number Table

Prime Factorization

Using the Counting Divisors Method

Counting divisors method refers to a type of method where we count the number of divisors of a particular number to find out whether the number is a prime number or not. If we look at 163 we can see that it has only 2 divisors, which are 1 and 163 . Since 163 has only 2 divisors, it is a prime number.

Using the Divisibility Test Method

In this test, we try to find out the prime numbers that divide the number without leaving any reminder. Hence, we can see that there are no prime numbers that are able to easily divide 163 without leaving any remainder. Hence, this proves that 163 is a prime number.

Using Prime Number Chart

This is a rather simple method where we write down all the prime numbers until we cross the required number, for example let's write down all the prime numbers from 1 to 170. 2, 3, 5, 7…. 149, 151, 157, 163, 167. From looking at the above list, we can see that 163 is a prime number.

Using the Prime Factorization Method

Prime factorization is a method where we represent a composite number based on the factors of two prime numbers. In this case, the prime factors of the number 163 are none, hence it is a prime number.

Common Mistakes to Avoid When learning about 163 a Prime Number.

FAQs Of “Is 163 a Prime Number?”

1. Are all odd numbers prime numbers?

2.Prove that 162 is not a prime number.

3. What are the prime factors which form a product of 21?

4.Name the prime numbers that come between 120 and 140

5.Important Glossaries For “Is 163 a Prime Number?”

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.